6533b859fe1ef96bd12b78ad
RESEARCH PRODUCT
Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2
F. DalbonoC. Rebelosubject
General MathematicsDirichlet L-functionasymptotically linear multiplicity second order planar systems Morse indexDirichlet's energyDirichlet integralsymbols.namesakeDirichlet eigenvalueSettore MAT/05 - Analisi MatematicaDirichlet's principleOrdinary differential equationDirichlet boundary conditionsymbolsApplied mathematicsGeneral Dirichlet seriesMathematicsdescription
AbstractWe study the existence of multiple solutions for a two-point boundary-value problem associated with a planar system of second-order ordinary differential equations by using a shooting technique. We consider asymptotically linear nonlinearities satisfying suitable sign conditions. Multiplicity is ensured by assumptions involving the Morse indices of the linearizations at zero and at infinity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-09-23 |